Question

A construction crew is lengthening a road. The road started with a length of 51 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating to . Then use this equation to find the total length of the road after the crew has worked 32 days.

Answer 1

The equation would be L = 2d + 52

Solution:

when d = 31 days

L = 2(31) + 52

L = 62 + 52

L = 114 miles

The total length of the road after the crew has worked 31 days is 114 miles.

Answer 2

111 miles

Explanation:

L(D) = 15 miles + (3 miles/day)*D

After 32 days the total length of the finished road would be:

L(32) = 15 miles + (3 miles/day)*(32 days) = 111 miles